Common Ratio Calculator

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Common Ratio of Geometric Progression Calculator MathChemistryEngineeringFinancial​More >>↳ Sequence and SeriesAlgebraArithmeticCombinatorics​More >>⤿ AP,GP and HPGeneral SeriesMean⤿ Geometric Progression Important Formulas of AP, GP and HPArithmetic Geometric ProgressionArithmetic Progression​More >>⤿ Finite Geometric ProgressionInfinite Geometric Progression⤿ Common Ratio of Geometric ProgressionFirst and Last Term of Geometric ProgressionNth Term of Geometric ProgressionNumber of Terms in Geometric Progression​More >>
✖The Nth Term of Progression is the term corresponding to the index or position n from the beginning in the given Progression.ⓘ Nth Term of Progression [Tn] +10%-10%
✖The (N-1)th Term of Progression is the term corresponding to the index or position (n-1) from the beginning of the given Progression.ⓘ (N-1)th Term of Progression [Tn-1] +10%-10%
✖The Common Ratio of Progression is the ratio of any term to its preceding term of the Progression.ⓘ Common Ratio of Geometric Progression [r] ⎘ Copy
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Common Ratio of Geometric Progression Solution

STEP 0: Pre-Calculation SummaryFormula UsedCommon Ratio of Progression = Nth Term of Progression/(N-1)th Term of Progressionr = Tn/Tn-1This formula uses 3 Variables Variables UsedCommon Ratio of Progression - The Common Ratio of Progression is the ratio of any term to its preceding term of the Progression.Nth Term of Progression - The Nth Term of Progression is the term corresponding to the index or position n from the beginning in the given Progression.(N-1)th Term of Progression - The (N-1)th Term of Progression is the term corresponding to the index or position (n-1) from the beginning of the given Progression.STEP 1: Convert Input(s) to Base UnitNth Term of Progression: 60 --> No Conversion Required(N-1)th Term of Progression: 50 --> No Conversion RequiredSTEP 2: Evaluate FormulaSubstituting Input Values in Formular = Tn/Tn-1 --> 60/50Evaluating ... ...r = 1.2STEP 3: Convert Result to Output's Unit1.2 --> No Conversion RequiredFINAL ANSWER1.2 >

Common Ratio of Geometric Progression Formula

​LaTeX ​Go Common Ratio of Progression = Nth Term of Progression/(N-1)th Term of Progression r = Tn/Tn-1

What is a Geometric Progression?

In Mathematics a Geometric Progression or simply GP also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed real number called the common ratio. For example, the sequence 2, 6, 18, 54,... is a Geometric Progression with common ratio 3. If the sum of all terms in the progression is a finite number or if the infinite sum of the progression exists then the we say it is an Infinite Geometric Progression or Infinite GP. And if the infinite sum of the progression does not exist, then it is a Finite Geometric Progression or Finite GP. If the absolute value of the common ratio is greater than 1 then the GP will be a Finite GP and if it is less than 1 then the GP will be an Infinite GP.

How to Calculate Common Ratio of Geometric Progression?

Common Ratio of Geometric Progression calculator uses Common Ratio of Progression = Nth Term of Progression/(N-1)th Term of Progression to calculate the Common Ratio of Progression, The Common Ratio of Geometric Progression formula is defined as the ratio of any term in the Geometric Progression to its preceding term. Common Ratio of Progression is denoted by r symbol. How to calculate Common Ratio of Geometric Progression using this online calculator? To use this online calculator for Common Ratio of Geometric Progression, enter Nth Term of Progression (Tn) & (N-1)th Term of Progression (Tn-1) and hit the calculate button. Here is how the Common Ratio of Geometric Progression calculation can be explained with given input values -> 27.5 = 60/50.

FAQ

What is Common Ratio of Geometric Progression?The Common Ratio of Geometric Progression formula is defined as the ratio of any term in the Geometric Progression to its preceding term and is represented as r = Tn/Tn-1 or Common Ratio of Progression = Nth Term of Progression/(N-1)th Term of Progression. The Nth Term of Progression is the term corresponding to the index or position n from the beginning in the given Progression & The (N-1)th Term of Progression is the term corresponding to the index or position (n-1) from the beginning of the given Progression.How to calculate Common Ratio of Geometric Progression?The Common Ratio of Geometric Progression formula is defined as the ratio of any term in the Geometric Progression to its preceding term is calculated using Common Ratio of Progression = Nth Term of Progression/(N-1)th Term of Progression. To calculate Common Ratio of Geometric Progression, you need Nth Term of Progression (Tn) & (N-1)th Term of Progression (Tn-1). With our tool, you need to enter the respective value for Nth Term of Progression & (N-1)th Term of Progression and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.How many ways are there to calculate Common Ratio of Progression?In this formula, Common Ratio of Progression uses Nth Term of Progression & (N-1)th Term of Progression. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Common Ratio of Progression = (Nth Term of Progression/First Term of Progression)^(1/(Index N of Progression-1))
  • Common Ratio of Progression = (Last Term of Progression/First Term of Progression)^(1/(Number of Total Terms of Progression-1))
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